At a certain large legal firm, 60% of the employees are currently working remotelyfrom home, while the rest are coming to the office to work. Five-sixths of thoseworking from home have young children, and three-quarters of those who work inthe office have young children. Fatima, one of the firm's employees, has 2 youngchildren. What is the probability that Fatima works remotely from home these days?5A.8B.6383512D.E.

Let A = the event that Fatima works from home.Let B = the event that Fatima works in the office.Let…

Answered: At a certain large legal firm, 60% of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A medical treatment has a success rate of 0.8. Two patients will be treated with this treatment. Assuming the results are independent for the two patients, what is the probability that both of them will be successfully cured? A. 0.20 B. 0.04 C. 0.36 D. 0.64
You play roulette and observe the ball land in the 1st dozen (i.e., 1-12) 5 times out of 5 spins. You want to perform a test to determine if the wheel is fair. State the null and alternative hypothesis. What is the p-value of this test? For ? α =.05 significance level, what do you conclude?
Pretend you and your friend are gunners in a science fiction space game. You and your fellow gunner each have one shot to take out an incoming missile before it hits the ship. Your counter-missile station has a 10% success rate, while the other has a 20% success rate. What is the probability that at least one of you will hit the missile?
hm8 5 A manufacturing machine has a 3% defect rate.If 10 items are chosen at random, what is the probability that at least one will have a defect?
A bag contains 24 marbles, of which 6 are blue and 8 are green. One marble is drawn from the bag. What is the probability that the marble drawn is not blue? 3 OA. 4 OB. 4 3 OC. 7 7 OD. 12
In the basic science unit of the university, the following results were obtained from 350 students: 200 students passed the differential calculus course 160 passed physics course 187 passed probability-statistics course 112 approved differential calculus and probability-statistics 120 passed differential calculus and physics 95 passed physics and probability-statistics 80 passed the three courses. What is the probability of those who passed only one course? a. 0.051 b. 0.1714 c. 0.38 d. 0.0714
You are conducting an experiment where a bucket is filled with 11 fluffy hamsters and 7 spiky sea urchins. You blindly reach into the bucket, grab an animal at random, and record which animal it was. After each trial the animal that you grabbed is removed from the bucket. What is the probability that you will grab a sea urchin on your first 3 trials? a. 4124 b. .0429 c. .0360 d. .0515
In a game with a spinner, players continue making spins until they spin “End of Turn”. The “End of Turn” sector takes up 1/12 of the spinner. What is the probability that a player will be out before their fourth spin?
Assume that 50% of the students at the university have taken four years of high school math. Of those with four years of high school math, 60% plan to major in science. Of those without four years, Only 25% plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that the student had four years of high school math?
When sent a questionnaire, 50% of the recipients respond immediately. Of those who do not respond immediately, 60% respond when sent a follow-up letter. If the questionnaire is sent to 4 persons and a follow-up letter is sent to any of the 4 who do not respond immediately, what is the probability that at least 3 never respond? A D E (0.2) 4 + 4.(0.2) ³. (0.8) (0.2)4 + 4.(0.2).(0.8)³ (0.4) 4 + 4C (0.4) ³. (0.6) (0.9)4 + 4.(0.9) ³. (0.1) 4.(0.2) ³ (0.8)

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